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dc.contributor.authorUzunca, Muraten_US
dc.date.accessioned2021-11-02T14:27:54Z
dc.date.available2021-11-02T14:27:54Z
dc.date.issued2021
dc.identifier.citationUzunca, M. (2021). Preservation of the invariants of Lotka-Volterra equations by iterated deferred correction methods. TWMS Journal Of Applied And Engineering Mathematics, 11(4), 1080-1092.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3256
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/113-vol11-no4/766
dc.description.abstractIn this paper we apply Kahan’s nonstandard discretization to three dimensional Lotka-Volterra equations in bi-Hamiltonian form. The periodicity of the solutions and all polynomial and non-polynomial invariants are well preserved in long-term integration. Applying classical deferred correction method, we show that the invariants are preserved with increasing accuracy as a results of more accurate numerical solutions. Substantial speedups over the Kahan’s method are achieved at each run with deferred correction method.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectConserved quantitiesen_US
dc.subjectIterated deferred correctionen_US
dc.subjectKahan’s methoden_US
dc.subjectLotka-Volterra equationsen_US
dc.titlePreservation of the invariants of Lotka-Volterra equations by iterated deferred correction methodsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume11
dc.identifier.issue4
dc.identifier.startpage1080
dc.identifier.endpage1092
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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